Scala analysis: xen18-erlich-orson-05

  0:          1/1               0.000000 unison, perfect prime
  1:        271.650 cents     271.650000
  2:        543.300 cents     543.300000
  3:        656.940 cents     656.940000
  4:        928.590 cents     928.590000
  5:       1200.240 cents    1200.240000

  0:        271.6500 cents    271.6500
  1:        271.6500 cents    271.6500
  2:        271.6500 cents    271.6500
  3:        113.6400 cents    113.6400
  4:        271.6500 cents    271.6500
  5:        271.6500 cents    271.6500

Interval class, Number of incidences, Size:
  1:   1 113.64000 cents
  1:   4 271.65000 cents
  2:   2 385.29000 cents
  2:   3 543.30000 cents
  3:   3 656.94000 cents
  3:   2 814.95000 cents
  4:   4 928.59000 cents
  4:   1 1086.60000 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2

         1     2     3     4      5     
 0.0   : 271.6 543.3 656.9 928.6  1200.2
 271.6 : 271.6 385.3 656.9 928.6  1200.2
 543.3 : 113.6 385.3 656.9 928.6  1200.2
 656.9 : 271.6 543.3 814.9 1086.6 1200.2
 928.6 : 271.6 543.3 814.9 928.6  1200.2
 1200.2

Interval class, Interval span, Span size, Gap to prev. class:
  1:  113.6400  .. 271.6500 cents      158.01000 cents                    113.64000 cents
  2:  385.2900  .. 543.3000 cents      158.01000 cents                    113.64000 cents
  3:  656.9400  .. 814.9500 cents      158.01000 cents                    113.64000 cents
  4:  928.5900  .. 1086.6000 cents     158.01000 cents                    113.64000 cents

Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 113.64000 cents, class 1
Average step (divided formal octave): 240.0480 cents
Largest one step interval           : 271.65000 cents
Average / Smallest step             : 2.112355
Largest / Average step              : 1.131649
Largest / Smallest step             : 2.390444
Median interval of one step         : 271.65000 cents, amount: 4
Most common interval of one step    : 271.65000 cents, amount: 4
Least squares average step          : 237.17509 cents, oct.:  1185.87545 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 158.01000 cents and 44.37000 cents, ratio: 3.561190
  generators: 1 of 271.65000 cents and 4 of 928.59000 cents
ET pair of linear temperament       : 22&31
Scale is distributional even
Scale is a mode of a 433-tone equal temperament with octave  1200.240 cents
  degrees: 98 196 237 335 433
  generators: 98 and 335
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABAA
Step pattern size order : LLSLL
Scale is a Constant Structure, by a margin of 113.64000 cents
Scale diversity                     : 1.348252
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.473405
Rothenberg efficiency               : 0.800000   redundancy: 0.200000
Efficiency x scale size             : 4.000000
Number of different interval sizes  : 8 = 2.00000 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 2.00000 = 2
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 113.64000 cents
Most common intervals               : 271.65000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 543.300 928.590 cents
Most common triad is 0.0 271.650 928.590 cents, amount: 3
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Formal octave complements present   : 5 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  5:  1 1 1 1 1  SP B ME I SD: 44.6920 c. M:-63.2040 c. 
  8:  2 2 0 2 2   P M DE I SD: 40.1778 c. M:-56.8200 c. 
  9:  2 2 1 2 2  SP M ME I SD: 6.9721 c. M:-9.8600 c. 
 22:  5 5 2 5 5  SP M DE I SD: 1.6006 c. M:-2.2636 c. 
 31:  7 7 3 7 7  SP M DE I SD: 0.8882 c. M:-1.2561 c. 
 53:  12 12 5 12 12  SP M DE I SD: 0.1449 c. M:-0.2049 c. 
 137: 31 31 13 31 31  SP M DE I SD: 0.0889 c. M:-0.1257 c. 
 190: 43 43 18 43 43  SP M DE I SD: 0.0237 c. M:-0.0335 c. 
 243: 55 55 23 55 55  SP M DE I SD: 0.0131 c. M:-0.0185 c. 
 433: 98 98 41 98 98  SP M DE I SD: 0.0030 c. M:-0.0043 c. 
 676: 153 153 64 153 153  SP M DE I SD: 0.0028 c. M:-0.0039 c. 
 1109: 251 251 105 251 251  SP M DE I SD: 0.0005 c. M:-0.0007 c. 
 1542: 349 349 146 349 349  SP M DE I SD: 0.0005 c. M:-0.0007 c. 

 1 x x x x 2  S SD: 0.2400 cents
 2 x x 3 x 4  S SD: 22.5078 cents
 3 x 4 x 5:6  S SD: 21.0937 cents
 4:5 x 6:7:8  S SD: 32.3971 cents
 5:6:7 x 9:10    SD: 26.6868 cents
 6:7:8:9:10:12  S SD: 15.5611 cents
 7:8 x 10:12:14  S SD: 14.1762 cents
 11:13:15:16:19:22    SD: 5.3920 cents
 17:20:23:25:29:34    SD: 4.9979 cents
 24:28:33:35:41:48    SD: 2.0346 cents
 35:41:48:51:60:70    SD: 1.6113 cents
 41:48:56:60:70:82    SD: 1.0111 cents
 65:76:89:95:111:130    SD: 0.4943 cents
 76:89:104:111:130:152    SD: 0.4456 cents
 117:137:160:171:200:234    SD: 0.4314 cents
 141:165:193:206:241:282    SD: 0.2021 cents
 407:476:557:595:696:814    SD: 0.1644 cents
 442:517:605:646:756:884    SD: 0.1502 cents
 483:565:661:706:826:966    SD: 0.1076 cents
 548:641:750:801:937:1096    SD: 0.0852 cents